55442064322100 has 36 divisors (see below), whose sum is σ = 127386296028684. Its totient is φ = 20872306567680.

The previous prime is 55442064322093. The next prime is 55442064322109. The reversal of 55442064322100 is 122346024455.

It can be written as a sum of positive squares in 6 ways, for example, as 47417675536 + 55394646646564 = 217756^2 + 7442758^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55442064322109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16306487807 + ... + 16306491206.

It is an arithmetic number, because the mean of its divisors is an integer number (3538508223019).

Almost surely, 2^{55442064322100} is an apocalyptic number.

55442064322100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55442064322100 is an abundant number, since it is smaller than the sum of its proper divisors (71944231706584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55442064322100 is a wasteful number, since it uses less digits than its factorization.

55442064322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32612979044 (or 32612979037 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 55442064322100 in words is "fifty-five trillion, four hundred forty-two billion, sixty-four million, three hundred twenty-two thousand, one hundred".